document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=190678>Question 190678</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780073533490/algebrahomeworkh>Elementary and Intermediate Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> The height of a missile propelled upward at 48 feet/second is given by                              h (t) = -16t2 + 48t. What is the maximum height that the missile will reach? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #143156 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=143156\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The height of a missile propelled upward at 48 feet/second is given by h (t) = -16t2 + 48t. What is the maximum height that the missile will reach?<BR>\n" );
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document.write( "The easiest way to do these is to find the total flight time from takeoff to impact.  The max height is at the midpoint, 1/2 the time.<BR>\n" );
document.write( "Use h(t) = 0  The height will be zero at takeoff and at impact.<BR>\n" );
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document.write( "h (t) = -16t2 + 48t = 0<BR>\n" );
document.write( "t = 0, t = 3<BR>\n" );
document.write( "Max height is at t = 1.5 seconds<BR>\n" );
document.write( "h(1.5) = -16*2.25 + 48*1.5 = 72 - 36<BR>\n" );
document.write( "= 36 feet </SPAN>\n" );
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